Fourier Analysis and Convexity (Applied and Numerical Harmonic Analysis)

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9781461264743: Fourier Analysis and Convexity (Applied and Numerical Harmonic Analysis)

Explores relationship between Fourier Analysis, convex geometry, and related areas; in the past, study of this relationship has led to important mathematical advances

Presents new results and applications to diverse fields such as geometry, number theory, and analysis

Contributors are leading experts in their respective fields

Will be of interest to both pure and applied mathematicians

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Over the course of the last century, the systematic exploration of the relationship between Fourier analysis and other branches of mathematics has lead to important advances in geometry, number theory, and analysis, stimulated in part by Hurwitz’s proof of the isoperimetric inequality using Fourier series.                                                            

This unified, self-contained volume is dedicated to Fourier analysis, convex geometry, and related topics. Specific topics covered include:

* the geometric properties of convex bodies

* the study of Radon transforms

* the geometry of numbers

* the study of translational tilings using Fourier analysis

* irregularities in distributions

* Lattice point problems examined in the context of number theory, probability theory, and Fourier analysis

* restriction problems for the Fourier transform  

The book presents both a broad overview of Fourier analysis and convexity as well as an intricate look at applications in some specific settings; it will be useful to graduate students and researchers in harmonic analysis, convex geometry, functional analysis, number theory, computer science, and combinatorial analysis. A wide audience will benefit from the careful demonstration of how Fourier analysis is used to distill the essence of many mathematical problems in a natural and elegant way.

Contributors: J. Beck, C. Berenstein, W.W.L. Chen, B. Green, H. Groemer, A. Koldobsky, M. Kolountzakis, A. Magyar, A.N. Podkorytov, B. Rubin, D. Ryabogin, T. Tao, G. Travaglini, A. Zvavitch

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Published by Springer-Verlag New York Inc., United States (2012)
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Book Description Springer-Verlag New York Inc., United States, 2012. Paperback. Book Condition: New. Language: English . This book usually ship within 10-15 business days and we will endeavor to dispatch orders quicker than this where possible. Brand New Book. Explores relationship between Fourier Analysis, convex geometry, and related areas; in the past, study of this relationship has led to important mathematical advances Presents new results and applications to diverse fields such as geometry, number theory, and analysis Contributors are leading experts in their respective fields Will be of interest to both pure and applied mathematicians Softcover reprint of the original 1st ed. 2004. Bookseller Inventory # LIE9781461264743

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Book Description Springer-Verlag New York Inc., United States, 2012. Paperback. Book Condition: New. Language: English . Brand New Book ***** Print on Demand *****.Explores relationship between Fourier Analysis, convex geometry, and related areas; in the past, study of this relationship has led to important mathematical advances Presents new results and applications to diverse fields such as geometry, number theory, and analysis Contributors are leading experts in their respective fields Will be of interest to both pure and applied mathematicians Softcover reprint of the original 1st ed. 2004. Bookseller Inventory # AAV9781461264743

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Book Description Springer-Verlag New York Inc., United States, 2012. Paperback. Book Condition: New. Language: English . Brand New Book ***** Print on Demand *****. Explores relationship between Fourier Analysis, convex geometry, and related areas; in the past, study of this relationship has led to important mathematical advances Presents new results and applications to diverse fields such as geometry, number theory, and analysis Contributors are leading experts in their respective fields Will be of interest to both pure and applied mathematicians Softcover reprint of the original 1st ed. 2004. Bookseller Inventory # AAV9781461264743

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Book Description Springer-Verlag New York Inc. Paperback. Book Condition: New. Paperback. 268 pages. Dimensions: 9.1in. x 6.1in. x 0.9in.Explores relationship between Fourier Analysis, convex geometry, and related areas; in the past, study of this relationship has led to important mathematical advances Presents new results and applications to diverse fields such as geometry, number theory, and analysis Contributors are leading experts in their respective fields Will be of interest to both pure and applied mathematicians This item ships from multiple locations. Your book may arrive from Roseburg,OR, La Vergne,TN. Paperback. Bookseller Inventory # 9781461264743

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